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Abbadi. pCube Update-efficient online aggregation with progressive feedback and error bound

Root Internal Nodes

Leaves 1

2

Internal Nodes

Root Leaves (2/4*9)+(4/4*6)=10.56+1+5=129+6=156+1+5=126+1+5=12

0+6=66/16*25=9.425Approximate value:

Upper bound:

Lower bound:0

Insert of new cell Position of new cell (value=4)

Order in which the nodes are stored: A, B, C, D, E, F, G, H, I, K, L, M

M

L

K

I

H

G

F

E

11

1 111

1

Data cube 1

020406080100120

140160

010000200003000040000500006000070000A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r a n e x a c t r e s u l t Size of query-cube ’summary.gpl’020

40

6080100120140160010000200003000040000500006000070000A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r 20% r e l a t i v e e r r o r Size of query-cube ’summary.gpl’

020406080100120140160

010000200003000040000500006000070000A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r a n i d e a l i n d e x Size of query-cube ’summary.gpl’

020

40

6080100120140

160010000200003000040000500006000070000

A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r a n i d e a l s c a n Size of query-cube ’summary.gpl’

010020030040050001e+162e+163e+164e+165e+166e+167e+16A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r t h e e x a c t r e s u l t Size of query-cube ’summary.gpl’0100

20030040050001e+162e+163e+164e+165e+166e+167e+16A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r 20% r e l a t i v e e r r o r Size of query-cube ’summary.gpl’

010020030040050001e+162e+163e+164e+165e+166e+167e+16A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r a n i d e a l i n d e x Size of query-cube ’summary.gpl’

0100

20030040050001e+162e+163e+164e+165e+166e+167e+16

A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r a n i d e a l s c a n Size of query-cube ’summary.gpl’

50100150200250300

350400

02e+094e+096e+09

8e+091e+10 1.2e+10 1.4e+10 1.6e+10 1.8e+10

2e+10

A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r 5% r e l a t i v e e r r o r

Size of query-cube

’summary.gpl’

50

100

150

200

250

300

350

400

02e+094e+096e+09

8e+091e+10 1.2e+10 1.4e+10 1.6e+10 1.8e+10

2e+10

A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r 40% r e l a t i v e e r r o r

Size of query-cube

’summary.gpl’

20406080100120

140160

010********

3000040000

500006000070000

A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r 5% r e l a t i v e e r r o r

Size of query-cube

’summary.gpl’

20

40

60

80

100

120

140

160

010********

3000040000500006000070000

A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r 40% r e l a t i v e e r r o r

Size of query-cube

’summary.gpl’

100200300400500

01e+162e+16

3e+164e+16

5e+166e+167e+16

A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r 5% r e l a t i v e e r r o r

Size of query-cube

’summary.gpl’0

100

200

300

400

500

01e+162e+16

3e+164e+165e+166e+167e+16

A v e r a g e n u m b e r o f p a g e a c c e s s e s f o r 40% r e l a t i v e e r r o r

Size of query-cube

’summary.gpl’

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